Search a number
-
+
2020331904 = 2735878963
BaseRepresentation
bin111100001101011…
…1101000110000000
312012210121111100120
41320122331012000
513114201110104
6532250420240
7101031352323
oct17032750600
95183544316
102020331904
11947474298
12484731680
13262745886
1415246c7ba
15bc57bcd9
hex786bd180

2020331904 has 64 divisors (see below), whose sum is σ = 5376248640. Its totient is φ = 672221696.

The previous prime is 2020331903. The next prime is 2020331917. The reversal of 2020331904 is 4091330202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020331903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220927 + ... + 229889.

It is an arithmetic number, because the mean of its divisors is an integer number (84003885).

Almost surely, 22020331904 is an apocalyptic number.

2020331904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688124320).

2020331904 is an abundant number, since it is smaller than the sum of its proper divisors (3355916736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2020331904 is an equidigital number, since it uses as much as digits as its factorization.

2020331904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9567 (or 9555 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2020331904 is about 44948.1023403658. The cubic root of 2020331904 is about 1264.1760957457.

The spelling of 2020331904 in words is "two billion, twenty million, three hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 587 1174 1761 2348 3522 4696 7044 8963 9392 14088 17926 18784 26889 28176 35852 37568 53778 56352 71704 75136 107556 112704 143408 215112 225408 286816 430224 573632 860448 1147264 1720896 3441792 5261281 10522562 15783843 21045124 31567686 42090248 63135372 84180496 126270744 168360992 252541488 336721984 505082976 673443968 1010165952 2020331904